5-8. Consider two different, immobilized atoms, A and B, with only two thermally accessible energy modes:...

 

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5-8. Consider two different, immobilized atoms, A and B, with only two thermally accessible energy modes: an electronic excited state and a magnetic 'spin' state. Due to them being immobilized, there is no translation energy to consider, and also the molecules are distinguishable. The energy of the electronic excited state for molecule A is eA, while that for molecule B, is &B. The magnetic spin state has zero energy when the spin is 'down' on either molecule and &mA when the spin is 'up' on molecule A and EmB when the spin is 'up' on molecule B. 5) What are the molecular (i.e. microcanonical) partition functions, que and qBe for the electronic mode for molecules A and B? 6) What are the molecular (i.e. microcanonical) partition functions, qAm and qBm for the magnetic spin mode for molecules A and B? 7) Fort the partition functions in 5 and 6, you should have two terms. Consider the total energy of an A atom with both electronic and magnetic modes. How many terms are there in the total molecular partition function? 8) Now consider a system consisting of one atom of A and one of atom B. How many terms are there in the system partition function? 5-8. Consider two different, immobilized atoms, A and B, with only two thermally accessible energy modes: an electronic excited state and a magnetic 'spin' state. Due to them being immobilized, there is no translation energy to consider, and also the molecules are distinguishable. The energy of the electronic excited state for molecule A is eA, while that for molecule B, is &B. The magnetic spin state has zero energy when the spin is 'down' on either molecule and &mA when the spin is 'up' on molecule A and EmB when the spin is 'up' on molecule B. 5) What are the molecular (i.e. microcanonical) partition functions, que and qBe for the electronic mode for molecules A and B? 6) What are the molecular (i.e. microcanonical) partition functions, qAm and qBm for the magnetic spin mode for molecules A and B? 7) Fort the partition functions in 5 and 6, you should have two terms. Consider the total energy of an A atom with both electronic and magnetic modes. How many terms are there in the total molecular partition function? 8) Now consider a system consisting of one atom of A and one of atom B. How many terms are there in the system partition function?